Abstract
We prove explicit Lp bounds for second order Riesz transforms of the sub-Laplacian and of the Laplacian in the Lie groups H, SU(2) , and SL~ (2). Our proof makes use of martingale transform techniques and specific commutation properties between the complex gradient and the sub-Laplacian in those Lie groups.
Originalsprog | Engelsk |
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Tidsskrift | ARCHIV DER MATHEMATIK |
Vol/bind | 118 |
Nummer | 3 |
Sider (fra-til) | 291-304 |
Antal sider | 14 |
ISSN | 0003-889X |
DOI | |
Status | Udgivet - mar. 2022 |
Udgivet eksternt | Ja |